Ages of Kim and Kevin are 50 and 20 respectively.
Step-by-step explanation:
Step 1:
From given details, form equations. So let present age of Kevin be x.
In 10 years, Age of Kim = 2(x + 10)
5 years ago, Age of Kim = 3(x - 5)
Step 2:
Difference between these two period is 15.
⇒ 2(x + 10) - 3(x - 5) = 15
⇒ 2x + 20 - 3x + 15 = 15
⇒ -x = -20
⇒ x = 20
Step 3:
Calculate Kim's age.
In 10 years, Kim's age = 2(x + 10) = 2 × 30 = 60
So present age of Kim = 60 - 10 = 50
